# Scientific notation and standard form classnotes.

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Scientific notation and standard form classnotes.

Scientific notation and standard form classnotes. ` Writing and understanding numbers in scientific notation The diameter of a coin measures from one end of the coin to the other going through the centre of the coin. Measure the diameter of each coin in millimetres and convert them to centimetres. Record your results in your notebook. Scientific notation and standard form classnotes. Scientific notation and standard form classnotes. 1.7cm = 17mm 1.6cm = 16mm 2cm = 20mm 2.4cm = 24mm 2.2cm = 22mm 2.5cm = 25mm Scientific notation and standard form classnotes. Another way to convert centimeters into millimeters is to take the centimeters and multiply it by 10. Scientific notation and standard form classnotes. What does the mnemonic MVEMJSUNP stand for? Scientific notation and standard form classnotes. What does this mnemonic stand for? MVEMJSUNP Scientific notation and standard form classnotes. 5.791 x 107 57 910 000 8 1.082 x 10 108 200 000 1.496 x 108 149 600 000 8 2.2794 x 10 227 940 000 8 778 330 000 7.7833 x 10 9 1.4294 x 10 1 429 400 000 9 2 870 990 000 2.87099 x 10 9 4.5043 x 10 4 504 300 000 9 5 913 520 000 5.91352 x 10 Scientific notation and standard form classnotes. Scientific notation Mercury is 57 910 away from the sun. 000 km 7 5.791 x 10 This can also be written as Explain how this happens? 32 000 000 watched the 1966 world cup. Write this in scientific notation 3.2 x 107 Scientific notation and standard form classnotes. The probability of winning the 1 /14 million or 0.000 000 071 lottery is about This can also be written as 7.1 -8 x 10 Explain how this happens? The radius of a human hair is 0.053mm Write this in scientific notation 5.3 x 10-2 Scientific notation and standard form classnotes. Scientific notation Very large or very small numbers can be written in scientific notation like this. a x 10 a x 10 ∨ 1≤ a 10 n n integer (positive or negative) Scientific notation and standard form classnotes. Write these in scientific notation 950 = 0.487 = 64800 = 7420 = 0.016 = Write these as ordinary numbers 2 3.5x 10 = 4.67x 10-3 = 7.6x 103 = 8.65x 10-4 = -1 1.05 x 10 = Scientific notation and standard form classnotes. Write these in Answers Write these as scientific notation ordinary numbers 950 = 0.487 = 64800 = 9.5 x 10 2 3.5x 10 = 2 4.87 x 10-1 6.48 x 10 4.67x 10-3 = 0.00467 4 7.6x 103 = 3 8.65x 10-4 = 0.000865 7420 = 7.42 x 10 0.016 = -2 1.6 x 10 350 -1 7600 1.05 x 10 = 0.105 Scientific notation and standard form classnotes. Calculating with scientific notation Write the following in scientific notation: 1) 367 2) 25000 3) 0.06 4) 0.00376 Write the following as an ordinary number: 2 5) 4 x 10 6) 6.21 x 105 7) 3 x 10-1 8) 5.32 x 10-9 Scientific notation and standard form classnotes. Using the example to help you, fill in the four missing blanks. 7 x109= Population of the world is around 7 billion written out as 7,000,000,000 1.08 x109= Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour 9.3 x107= Distance from the Earth to the sun is 93 million miles or 93,000,000 miles 2.4 x103= Diameter of a grain of sand is 24 ten thousandths inch or .0024 inch 9.1093822×1031= Mass of an electron is 0.00000000000000000000000000000091093822 kg Scientific notation and standard form classnotes. Write the following in standard form. During your lifetime you will... x 105 dreams have 1.0439 104,390 x 103 headaches have 1.256 1256 1.2320575 108 words speak 123, 205,x750 x 105 times laugh 4.35265 435,265 x 103 friendships make 1.7 1700 x 104 chocolate bars eat 1.0354 10,354 x 104 cookies eat 3.5 35,000 x 105 times visit the toilet 1.74105 174,105 x 104 litres of gas from breaking wind produce 3.5815 35,815 Scientific notation and standard form classnotes. Find a unique fascinating fact. Write it in scientific notation and standard form. Begin the circle with "Did you know..." Hang it on the washing line. When you have finished, start the review questions on the next slides. Scientific notation and standard form classnotes. Mika and Kiran are disputing between how to write a number using scientific notation. They both know the formula a x 10 n Their teacher asks them to write the following in scientific notation 65 984 000 and to write the following as an ordinary number 3.458 x 10-2 Mika writes Kiran writes 65. 984 x 10 0.03458 6 6.5 x 10 345.8 What do you think? 7 Scientific notation and standard form classnotes. a x 10 Write in scientific notation Write as ordinary numbers n Scientific notation and standard form classnotes. a x 10 n Write in scientific notation 2.5x 102 3.45x 10 3.46x 10 2.0789x 10-2 Write as ordinary numbers 250 3400 000 000 0.345 20 780 000 000 3) 3, 281581 , 1382101 4) 93 000, 12 980 000, 2 997 000 000 4.67x 10-3 5.678x 103 46700 0.0005678 Scientific notation and standard form classnotes. Change these numbers into scientific notation Scientific notation and standard form classnotes. Scientific notation and standard form classnotes. Scientific notation and standard form classnotes.